Dividing Decimals and
4-5 Integers by Decimals
Today I will divide decimals and integers
by decimals.
Course 2
Dividing Decimals and
4-5 Integers by Decimals
When you divide two numbers, you can multiply
both numbers by the same power of ten without
changing the final answer.
Multiply both 0.6 and 0.3 by 10:
0.6 · 10 = 6 and
0.3 · 10 = 3
0.6 ÷ 0.3 = 2 and 6 ÷ 3 = 2
By multiplying both powers by the same power
of ten, you can make the divisor an integer.
Dividing by an integer is much easier than
dividing by a decimal.
Course 2
Dividing Decimals and
4-5 Integers by Decimals
Additional Example 1A: Dividing Decimals by
Decimals
Divide.
A. 8.28 ÷ 4.6
8.28 ÷ 4.6 = 82.8 ÷ 46
1.8
46) 82.8
– 46
36 8
–36 8
Multiply both numbers by 10.
Divide as with whole numbers.
0
Helpful Hint
Rewrite the problem before you put it into a long
division problem.
Course 2
Dividing Decimals and
4-5 Insert
Lesson
Title Here
Integers
by Decimals
Try This: Example 1A
Divide.
A. 6.45 ÷ 0.5
6.45 ÷ 0.5 = 64.5 ÷ 5
Multiply both numbers by10.
Divide as with whole numbers.
Course 2
Dividing Decimals and
4-5 Integers by Decimals
Additional Example 2A: Dividing Integers by
Decimals
Divide. Estimate to check whether the answer
is reasonable.
A. 4 ÷ 1.25
4.00 ÷ 1.25 = 400 ÷ 125
Multiply both numbers by 100.
Use zero as a placeholder.
Divide as with whole numbers.
The answer is reasonable.
Course 2
Dividing Decimals and
4-5 Integers by Decimals
Try This: Example 2A
Divide. Estimate to check whether the answer
is reasonable.
A. 6 ÷ 1.25
6.00 ÷ 1.25 = 600 ÷ 125
Multiply both numbers by 100.
Use zero as a placeholder.
Divide as with whole numbers.
The answer is reasonable.
Course 2
Dividing Decimals and
4-5 Integers
Insert Lesson
Title Here
by Decimals
Lesson Quiz
Divide.
1. 78.2 ÷ 0.04
1,955
3. 18.88 ÷ 1.6
11.8
4. 19.5 ÷ 3.25
6
5. Jordan used 32.46 gallons of gas to drive his
van 584.28 miles. How many miles did Jordan get
per gallon?
Course 2
18 miles